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Finding the Fourth Proportional to 4,341.66, 6,509.44 and 2,148.99

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Solution

The fourth proportional to 4,341.66, 6,509.44 and 2,148.99 is: 3,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.66 : 6,509.44 = 2,148.99 : x
  2. Step 2: Convert to fraction form
    4,341.66/6,509.44 = 2,148.99/x
  3. Step 3: Cross multiply
    4,341.66x = 6,509.44 × 2,148.99
  4. Step 4: Simplify right side
    4,341.66x = 13,988,721.47
  5. Step 5: Solve for x
    x = 13,988,721.47/4,341.66
  6. Step 6: Final answer
    x = 3,221.98

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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.