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Finding the Fourth Proportional to 4,671.90, 7,000.65 and 4,052.70

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Solution

The fourth proportional to 4,671.90, 7,000.65 and 4,052.70 is: 6,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.90 : 7,000.65 = 4,052.70 : x
  2. Step 2: Convert to fraction form
    4,671.90/7,000.65 = 4,052.70/x
  3. Step 3: Cross multiply
    4,671.90x = 7,000.65 × 4,052.70
  4. Step 4: Simplify right side
    4,671.90x = 28,371,534.26
  5. Step 5: Solve for x
    x = 28,371,534.26/4,671.90
  6. Step 6: Final answer
    x = 6,072.80

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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.