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Finding the Fourth Proportional to 5,064.16, 6,988.80 and 3,820

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Solution

The fourth proportional to 5,064.16, 6,988.80 and 3,820 is: 5,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.16 : 6,988.80 = 3,820 : x
  2. Step 2: Convert to fraction form
    5,064.16/6,988.80 = 3,820/x
  3. Step 3: Cross multiply
    5,064.16x = 6,988.80 × 3,820
  4. Step 4: Simplify right side
    5,064.16x = 26,697,216
  5. Step 5: Solve for x
    x = 26,697,216/5,064.16
  6. Step 6: Final answer
    x = 5,271.80

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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.