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Finding the Fourth Proportional to 5,210.51, 7,812.34 and 2,398.16

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Solution

The fourth proportional to 5,210.51, 7,812.34 and 2,398.16 is: 3,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.51 : 7,812.34 = 2,398.16 : x
  2. Step 2: Convert to fraction form
    5,210.51/7,812.34 = 2,398.16/x
  3. Step 3: Cross multiply
    5,210.51x = 7,812.34 × 2,398.16
  4. Step 4: Simplify right side
    5,210.51x = 18,735,254.83
  5. Step 5: Solve for x
    x = 18,735,254.83/5,210.51
  6. Step 6: Final answer
    x = 3,595.67

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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.