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Finding the Fourth Proportional to 4,671.60, 7,007.40 and 3,113.70

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Solution

The fourth proportional to 4,671.60, 7,007.40 and 3,113.70 is: 4,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.60 : 7,007.40 = 3,113.70 : x
  2. Step 2: Convert to fraction form
    4,671.60/7,007.40 = 3,113.70/x
  3. Step 3: Cross multiply
    4,671.60x = 7,007.40 × 3,113.70
  4. Step 4: Simplify right side
    4,671.60x = 21,818,941.38
  5. Step 5: Solve for x
    x = 21,818,941.38/4,671.60
  6. Step 6: Final answer
    x = 4,670.55

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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.