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Finding the Fourth Proportional to 4,981.64, 6,875.76 and 3,902.76

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Solution

The fourth proportional to 4,981.64, 6,875.76 and 3,902.76 is: 5,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.64 : 6,875.76 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    4,981.64/6,875.76 = 3,902.76/x
  3. Step 3: Cross multiply
    4,981.64x = 6,875.76 × 3,902.76
  4. Step 4: Simplify right side
    4,981.64x = 26,834,441.10
  5. Step 5: Solve for x
    x = 26,834,441.10/4,981.64
  6. Step 6: Final answer
    x = 5,386.67

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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.