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Finding the Fourth Proportional to 4,313.51, 6,465.64 and 2,460.63

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Solution

The fourth proportional to 4,313.51, 6,465.64 and 2,460.63 is: 3,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.51 : 6,465.64 = 2,460.63 : x
  2. Step 2: Convert to fraction form
    4,313.51/6,465.64 = 2,460.63/x
  3. Step 3: Cross multiply
    4,313.51x = 6,465.64 × 2,460.63
  4. Step 4: Simplify right side
    4,313.51x = 15,909,547.75
  5. Step 5: Solve for x
    x = 15,909,547.75/4,313.51
  6. Step 6: Final answer
    x = 3,688.31

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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.