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Finding the Fourth Proportional to 6,466.51, 8,925.20 and 4,108.20

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Solution

The fourth proportional to 6,466.51, 8,925.20 and 4,108.20 is: 5,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.51 : 8,925.20 = 4,108.20 : x
  2. Step 2: Convert to fraction form
    6,466.51/8,925.20 = 4,108.20/x
  3. Step 3: Cross multiply
    6,466.51x = 8,925.20 × 4,108.20
  4. Step 4: Simplify right side
    6,466.51x = 36,666,506.64
  5. Step 5: Solve for x
    x = 36,666,506.64/6,466.51
  6. Step 6: Final answer
    x = 5,670.22

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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.