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Finding the Fourth Proportional to 3,570.08, 4,927.10 and 2,077.52

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Solution

The fourth proportional to 3,570.08, 4,927.10 and 2,077.52 is: 2,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.08 : 4,927.10 = 2,077.52 : x
  2. Step 2: Convert to fraction form
    3,570.08/4,927.10 = 2,077.52/x
  3. Step 3: Cross multiply
    3,570.08x = 4,927.10 × 2,077.52
  4. Step 4: Simplify right side
    3,570.08x = 10,236,113.77
  5. Step 5: Solve for x
    x = 10,236,113.77/3,570.08
  6. Step 6: Final answer
    x = 2,867.20

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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.