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Finding the Fourth Proportional to 5,807.28, 8,702.46 and 4,345.68

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Solution

The fourth proportional to 5,807.28, 8,702.46 and 4,345.68 is: 6,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.28 : 8,702.46 = 4,345.68 : x
  2. Step 2: Convert to fraction form
    5,807.28/8,702.46 = 4,345.68/x
  3. Step 3: Cross multiply
    5,807.28x = 8,702.46 × 4,345.68
  4. Step 4: Simplify right side
    5,807.28x = 37,818,106.37
  5. Step 5: Solve for x
    x = 37,818,106.37/5,807.28
  6. Step 6: Final answer
    x = 6,512.19

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