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Finding the Fourth Proportional to 4,702.68, 7,052.40 and 1,582.20

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Solution

The fourth proportional to 4,702.68, 7,052.40 and 1,582.20 is: 2,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.68 : 7,052.40 = 1,582.20 : x
  2. Step 2: Convert to fraction form
    4,702.68/7,052.40 = 1,582.20/x
  3. Step 3: Cross multiply
    4,702.68x = 7,052.40 × 1,582.20
  4. Step 4: Simplify right side
    4,702.68x = 11,158,307.28
  5. Step 5: Solve for x
    x = 11,158,307.28/4,702.68
  6. Step 6: Final answer
    x = 2,372.75

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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.