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Finding the Fourth Proportional to 3,526.69, 4,868.76 and 2,409.30

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Solution

The fourth proportional to 3,526.69, 4,868.76 and 2,409.30 is: 3,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.69 : 4,868.76 = 2,409.30 : x
  2. Step 2: Convert to fraction form
    3,526.69/4,868.76 = 2,409.30/x
  3. Step 3: Cross multiply
    3,526.69x = 4,868.76 × 2,409.30
  4. Step 4: Simplify right side
    3,526.69x = 11,730,303.47
  5. Step 5: Solve for x
    x = 11,730,303.47/3,526.69
  6. Step 6: Final answer
    x = 3,326.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.