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Finding the Fourth Proportional to 3,434.90, 4,742.57 and 3,033.50

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Solution

The fourth proportional to 3,434.90, 4,742.57 and 3,033.50 is: 4,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.90 : 4,742.57 = 3,033.50 : x
  2. Step 2: Convert to fraction form
    3,434.90/4,742.57 = 3,033.50/x
  3. Step 3: Cross multiply
    3,434.90x = 4,742.57 × 3,033.50
  4. Step 4: Simplify right side
    3,434.90x = 14,386,547.21
  5. Step 5: Solve for x
    x = 14,386,547.21/3,434.90
  6. Step 6: Final answer
    x = 4,188.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.