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Finding the Fourth Proportional to 4,655.98, 6,985.08 and 1,369.18

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Solution

The fourth proportional to 4,655.98, 6,985.08 and 1,369.18 is: 2,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.98 : 6,985.08 = 1,369.18 : x
  2. Step 2: Convert to fraction form
    4,655.98/6,985.08 = 1,369.18/x
  3. Step 3: Cross multiply
    4,655.98x = 6,985.08 × 1,369.18
  4. Step 4: Simplify right side
    4,655.98x = 9,563,831.83
  5. Step 5: Solve for x
    x = 9,563,831.83/4,655.98
  6. Step 6: Final answer
    x = 2,054.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.