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Finding the Fourth Proportional to 4,904.48, 7,356.71 and 1,206.77

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Solution

The fourth proportional to 4,904.48, 7,356.71 and 1,206.77 is: 1,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.48 : 7,356.71 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    4,904.48/7,356.71 = 1,206.77/x
  3. Step 3: Cross multiply
    4,904.48x = 7,356.71 × 1,206.77
  4. Step 4: Simplify right side
    4,904.48x = 8,877,823.16
  5. Step 5: Solve for x
    x = 8,877,823.16/4,904.48
  6. Step 6: Final answer
    x = 1,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.