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Finding the Fourth Proportional to 4,632.84, 6,948.36 and 1,710.36

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Solution

The fourth proportional to 4,632.84, 6,948.36 and 1,710.36 is: 2,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.84 : 6,948.36 = 1,710.36 : x
  2. Step 2: Convert to fraction form
    4,632.84/6,948.36 = 1,710.36/x
  3. Step 3: Cross multiply
    4,632.84x = 6,948.36 × 1,710.36
  4. Step 4: Simplify right side
    4,632.84x = 11,884,197.01
  5. Step 5: Solve for x
    x = 11,884,197.01/4,632.84
  6. Step 6: Final answer
    x = 2,565.21

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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.