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Finding the Fourth Proportional to 4,338.54, 6,509.02 and 1,417.02

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Solution

The fourth proportional to 4,338.54, 6,509.02 and 1,417.02 is: 2,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.54 : 6,509.02 = 1,417.02 : x
  2. Step 2: Convert to fraction form
    4,338.54/6,509.02 = 1,417.02/x
  3. Step 3: Cross multiply
    4,338.54x = 6,509.02 × 1,417.02
  4. Step 4: Simplify right side
    4,338.54x = 9,223,411.52
  5. Step 5: Solve for x
    x = 9,223,411.52/4,338.54
  6. Step 6: Final answer
    x = 2,125.93

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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.