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Finding the Fourth Proportional to 4,702.32, 7,051.86 and 1,781.46

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Solution

The fourth proportional to 4,702.32, 7,051.86 and 1,781.46 is: 2,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.32 : 7,051.86 = 1,781.46 : x
  2. Step 2: Convert to fraction form
    4,702.32/7,051.86 = 1,781.46/x
  3. Step 3: Cross multiply
    4,702.32x = 7,051.86 × 1,781.46
  4. Step 4: Simplify right side
    4,702.32x = 12,562,606.52
  5. Step 5: Solve for x
    x = 12,562,606.52/4,702.32
  6. Step 6: Final answer
    x = 2,671.58

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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.