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Finding the Fourth Proportional to 3,585.84, 5,378.88 and 953.32

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Solution

The fourth proportional to 3,585.84, 5,378.88 and 953.32 is: 1,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.84 : 5,378.88 = 953.32 : x
  2. Step 2: Convert to fraction form
    3,585.84/5,378.88 = 953.32/x
  3. Step 3: Cross multiply
    3,585.84x = 5,378.88 × 953.32
  4. Step 4: Simplify right side
    3,585.84x = 5,127,793.88
  5. Step 5: Solve for x
    x = 5,127,793.88/3,585.84
  6. Step 6: Final answer
    x = 1,430.01

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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.