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Finding the Fourth Proportional to 4,358.76, 6,538.20 and 1,437

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Solution

The fourth proportional to 4,358.76, 6,538.20 and 1,437 is: 2,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.76 : 6,538.20 = 1,437 : x
  2. Step 2: Convert to fraction form
    4,358.76/6,538.20 = 1,437/x
  3. Step 3: Cross multiply
    4,358.76x = 6,538.20 × 1,437
  4. Step 4: Simplify right side
    4,358.76x = 9,395,393.40
  5. Step 5: Solve for x
    x = 9,395,393.40/4,358.76
  6. Step 6: Final answer
    x = 2,155.52

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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.