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Finding the Fourth Proportional to 4,995, 7,509.60 and 4,585.14

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Solution

The fourth proportional to 4,995, 7,509.60 and 4,585.14 is: 6,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995 : 7,509.60 = 4,585.14 : x
  2. Step 2: Convert to fraction form
    4,995/7,509.60 = 4,585.14/x
  3. Step 3: Cross multiply
    4,995x = 7,509.60 × 4,585.14
  4. Step 4: Simplify right side
    4,995x = 34,432,567.34
  5. Step 5: Solve for x
    x = 34,432,567.34/4,995
  6. Step 6: Final answer
    x = 6,893.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.