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Finding the Fourth Proportional to 4,606.55, 6,455.65 and 4,606.55

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Solution

The fourth proportional to 4,606.55, 6,455.65 and 4,606.55 is: 6,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.55 : 6,455.65 = 4,606.55 : x
  2. Step 2: Convert to fraction form
    4,606.55/6,455.65 = 4,606.55/x
  3. Step 3: Cross multiply
    4,606.55x = 6,455.65 × 4,606.55
  4. Step 4: Simplify right side
    4,606.55x = 29,738,274.51
  5. Step 5: Solve for x
    x = 29,738,274.51/4,606.55
  6. Step 6: Final answer
    x = 6,455.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.