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Finding the Fourth Proportional to 4,671.70, 7,000.35 and 3,130.90

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Solution

The fourth proportional to 4,671.70, 7,000.35 and 3,130.90 is: 4,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.70 : 7,000.35 = 3,130.90 : x
  2. Step 2: Convert to fraction form
    4,671.70/7,000.35 = 3,130.90/x
  3. Step 3: Cross multiply
    4,671.70x = 7,000.35 × 3,130.90
  4. Step 4: Simplify right side
    4,671.70x = 21,917,395.82
  5. Step 5: Solve for x
    x = 21,917,395.82/4,671.70
  6. Step 6: Final answer
    x = 4,691.52

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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.