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Finding the Fourth Proportional to 4,274.71, 6,416.93 and 2,870.17

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Solution

The fourth proportional to 4,274.71, 6,416.93 and 2,870.17 is: 4,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.71 : 6,416.93 = 2,870.17 : x
  2. Step 2: Convert to fraction form
    4,274.71/6,416.93 = 2,870.17/x
  3. Step 3: Cross multiply
    4,274.71x = 6,416.93 × 2,870.17
  4. Step 4: Simplify right side
    4,274.71x = 18,417,671.11
  5. Step 5: Solve for x
    x = 18,417,671.11/4,274.71
  6. Step 6: Final answer
    x = 4,308.52

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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.