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Finding the Fourth Proportional to 4,347.57, 6,508.94 and 4,071.71

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Solution

The fourth proportional to 4,347.57, 6,508.94 and 4,071.71 is: 6,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.57 : 6,508.94 = 4,071.71 : x
  2. Step 2: Convert to fraction form
    4,347.57/6,508.94 = 4,071.71/x
  3. Step 3: Cross multiply
    4,347.57x = 6,508.94 × 4,071.71
  4. Step 4: Simplify right side
    4,347.57x = 26,502,547.51
  5. Step 5: Solve for x
    x = 26,502,547.51/4,347.57
  6. Step 6: Final answer
    x = 6,095.94

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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.