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Finding the Fourth Proportional to 4,875.76, 7,312.74 and 1,317.94

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Solution

The fourth proportional to 4,875.76, 7,312.74 and 1,317.94 is: 1,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.76 : 7,312.74 = 1,317.94 : x
  2. Step 2: Convert to fraction form
    4,875.76/7,312.74 = 1,317.94/x
  3. Step 3: Cross multiply
    4,875.76x = 7,312.74 × 1,317.94
  4. Step 4: Simplify right side
    4,875.76x = 9,637,752.56
  5. Step 5: Solve for x
    x = 9,637,752.56/4,875.76
  6. Step 6: Final answer
    x = 1,976.67

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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.