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Finding the Fourth Proportional to 5,807.53, 8,013.22 and 3,569.77

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Solution

The fourth proportional to 5,807.53, 8,013.22 and 3,569.77 is: 4,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.53 : 8,013.22 = 3,569.77 : x
  2. Step 2: Convert to fraction form
    5,807.53/8,013.22 = 3,569.77/x
  3. Step 3: Cross multiply
    5,807.53x = 8,013.22 × 3,569.77
  4. Step 4: Simplify right side
    5,807.53x = 28,605,352.36
  5. Step 5: Solve for x
    x = 28,605,352.36/5,807.53
  6. Step 6: Final answer
    x = 4,925.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.