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Finding the Fourth Proportional to 5,225.24, 7,828.72 and 4,353.35

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Solution

The fourth proportional to 5,225.24, 7,828.72 and 4,353.35 is: 6,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.24 : 7,828.72 = 4,353.35 : x
  2. Step 2: Convert to fraction form
    5,225.24/7,828.72 = 4,353.35/x
  3. Step 3: Cross multiply
    5,225.24x = 7,828.72 × 4,353.35
  4. Step 4: Simplify right side
    5,225.24x = 34,081,108.19
  5. Step 5: Solve for x
    x = 34,081,108.19/5,225.24
  6. Step 6: Final answer
    x = 6,522.40

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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.