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Finding the Fourth Proportional to 4,300.16, 6,448.80 and 1,526.32

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Solution

The fourth proportional to 4,300.16, 6,448.80 and 1,526.32 is: 2,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.16 : 6,448.80 = 1,526.32 : x
  2. Step 2: Convert to fraction form
    4,300.16/6,448.80 = 1,526.32/x
  3. Step 3: Cross multiply
    4,300.16x = 6,448.80 × 1,526.32
  4. Step 4: Simplify right side
    4,300.16x = 9,842,932.42
  5. Step 5: Solve for x
    x = 9,842,932.42/4,300.16
  6. Step 6: Final answer
    x = 2,288.97

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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.