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Finding the Fourth Proportional to 3,686.61, 5,526.33 and 2,366.67

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Solution

The fourth proportional to 3,686.61, 5,526.33 and 2,366.67 is: 3,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.61 : 5,526.33 = 2,366.67 : x
  2. Step 2: Convert to fraction form
    3,686.61/5,526.33 = 2,366.67/x
  3. Step 3: Cross multiply
    3,686.61x = 5,526.33 × 2,366.67
  4. Step 4: Simplify right side
    3,686.61x = 13,078,980.18
  5. Step 5: Solve for x
    x = 13,078,980.18/3,686.61
  6. Step 6: Final answer
    x = 3,547.69

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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.