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Finding the Fourth Proportional to 4,358.84, 6,534.90 and 2,165.86

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Solution

The fourth proportional to 4,358.84, 6,534.90 and 2,165.86 is: 3,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.84 : 6,534.90 = 2,165.86 : x
  2. Step 2: Convert to fraction form
    4,358.84/6,534.90 = 2,165.86/x
  3. Step 3: Cross multiply
    4,358.84x = 6,534.90 × 2,165.86
  4. Step 4: Simplify right side
    4,358.84x = 14,153,678.51
  5. Step 5: Solve for x
    x = 14,153,678.51/4,358.84
  6. Step 6: Final answer
    x = 3,247.12

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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.